Home / 1,538.78-2,122.82-949.65

Finding the Fourth Proportional to 1,538.78, 2,122.82 and 949.65

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Solution

The fourth proportional to 1,538.78, 2,122.82 and 949.65 is: 1,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.78 : 2,122.82 = 949.65 : x
  2. Step 2: Convert to fraction form
    1,538.78/2,122.82 = 949.65/x
  3. Step 3: Cross multiply
    1,538.78x = 2,122.82 × 949.65
  4. Step 4: Simplify right side
    1,538.78x = 2,015,926.87
  5. Step 5: Solve for x
    x = 2,015,926.87/1,538.78
  6. Step 6: Final answer
    x = 1,310.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.